系統訊息：
授課教師:
李俊憲
教學大綱:
※※※請遵守智慧財產權觀念、不得不法影印※※※
<html> <body> <p><strong>國立高雄師範大學教學綱要</strong><strong>(105</strong><strong>學年度</strong><strong>)</strong></p> <p>科目名稱：微分方程導論 ■必修 □選修 教師：李俊憲</p> <p>任課班級：數學系數學組二年級</p> <p>每學期開課學分數：上學期<u> 3 </u>學分 下學期<u> 0 </u>學分</p> <p>總學分數：<u> 3 </u>學分 每週上課時數：<u> 3 </u>小時</p> <p>連繫電話：6813 辦公地點：致理大樓608 辦公時間（Office hour）：Wed. 10:00~12:00</p> <p><strong>※※請遵守智慧財產權觀念、不得非法影印※※</strong></p> <p> </p> <p><strong>一、教學目標：</strong></p> <ol> <li>To discuss some of the properties of solutions of differential equations </li><li>To present some of the methods that have proved effective in finding solutions, or, in some cases, approximating them. </li></ol> <p> </p> <p><strong>二、教材內容：</strong></p> <ol> <li>Introduction some basic terminology for differential equations </li><li>The separable, linear, and exact equations </li><li>Mathematical models for first-order equations </li><li>Second-order linear equations </li><li>Systems of differential equations </li><li>Higher-order linear equations </li><li>Laplace transforms </li><li>Series solutions of differential equaitons </li></ol> <p> </p> <p><strong>三、實施方法：講授、討論</strong></p> <p> </p> <p><strong>四、評量方式：</strong></p> <p> 期中考(一):30%</p> <p> 期中考(二):30%</p> <p> 期末考:40%</p> <p> </p> <p><strong>五、主要讀本及參考書目：</strong></p> <p> </p> <p>（1）主要讀本：R. Nagle, E. Saff, and A. Snider, Fundamentals of Differential Equations and Boundary Value Problem, 6th Edition, 2012.</p> <p>（2）參考書目：W. Boyce and R. DiPrima, Elementry Differential Equations and Boundary Value Problems, 10<sup>th</sup> Edition, 2013.</p> <p> </p> <p><strong>六、教學進度：</strong></p> <p> </p> <table border="1" cellpadding="0" cellspacing="0"> <tbody> <tr> <td colspan="2" style="width:50px"> <p>週 別</p> </td> <td style="width:276px"> <p> 內 容</p> </td> <td style="width:120px"> <p> 作 業</p> </td> <td style="width:144px"> <p> 參 考 資 料</p> </td> </tr> <tr> <td rowspan="18" style="width:26px"> <p>︵</p> <p>上</p> <p>學</p> <p>期</p> <p>︶</p> </td> <td style="width:24px"> <p>1</p> </td> <td style="width:276px"> <p> Introduction (9/16彈性放假)</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 1.1-1.3</p> </td> </tr> <tr> <td style="width:24px"> <p>2</p> </td> <td style="width:276px"> <p> First-order equations</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 1.4, 2.2, 2.3</p> </td> </tr> <tr> <td style="width:24px"> <p>3</p> </td> <td style="width:276px"> <p> </p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 2.4, 2.6</p> </td> </tr> <tr> <td style="width:24px"> <p>4</p> </td> <td style="width:276px"> <p> Mathematical models</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 3.2, 3.4, 4.1</p> </td> </tr> <tr> <td style="width:24px"> <p>5</p> </td> <td style="width:276px"> <p> Linear second-order equations (10/10放假)</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 4.2-4.4</p> </td> </tr> <tr> <td style="width:24px"> <p>6</p> </td> <td style="width:276px"> <p> </p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 4.5-4.6</p> </td> </tr> <tr> <td style="width:24px"> <p>7</p> </td> <td style="width:276px"> <p> Midterm 1 (10/24)</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> </p> </td> </tr> <tr> <td style="width:24px"> <p>8</p> </td> <td style="width:276px"> <p> Systems and phase plane analysis</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 4.7, 5.1-5.2</p> </td> </tr> <tr> <td style="width:24px"> <p>9</p> </td> <td style="width:276px"> <p> </p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 5.3-5.4</p> </td> </tr> <tr> <td style="width:24px"> <p>10</p> </td> <td style="width:276px"> <p> Higher-order linear equations</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 5.5, 6.1</p> </td> </tr> <tr> <td style="width:24px"> <p>11</p> </td> <td style="width:276px"> <p> Laplace transforms</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 6.2-6.4</p> </td> </tr> <tr> <td style="width:24px"> <p>12</p> </td> <td style="width:276px"> <p> </p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 7.2-7.4</p> </td> </tr> <tr> <td style="width:24px"> <p>13</p> </td> <td style="width:276px"> <p> Midterm 2 (12/5)</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> </p> </td> </tr> <tr> <td style="width:24px"> <p>14</p> </td> <td style="width:276px"> <p> </p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 7.5-7.6</p> </td> </tr> <tr> <td style="width:24px"> <p>15</p> </td> <td style="width:276px"> <p> Series solutions</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 7.7, 8.1</p> </td> </tr> <tr> <td style="width:24px"> <p>16</p> </td> <td style="width:276px"> <p> </p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> Sec. 8.2-8.4</p> </td> </tr> <tr> <td style="width:24px"> <p>17</p> </td> <td style="width:276px"> <p> (1/2 放假)</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> </p> </td> </tr> <tr> <td style="width:24px"> <p>18</p> </td> <td style="width:276px"> <p> Final (1/9)</p> </td> <td style="width:120px"> <p> </p> </td> <td style="width:144px"> <p> </p> </td> </tr> </tbody> </table> <p> </p> </body> </html>